{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true,
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "import pandas\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "from sklearn.model_selection import GridSearchCV\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib as mpl"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 基本画图"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 曲线"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "df = pd.DataFrame({'num_legs': [2, 4], 'num_wings': [2, 0]}, index=['falcon', 'dog'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f9a8045ce10>]"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "x = np.linspace(0, 10, 100)\n",
    "plt.plot(x, np.sin(x))\n",
    "plt.plot(x, np.cos(x))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fig.savefig('output/my_figure.png')\n",
    "from IPython.display import Image \n",
    "Image('output/my_figure.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## roc/pr曲线"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 见natvie_bayes.ipynb\n",
    "# fpr, tpr, thresholds = roc_curve(yc, y_pred)\n",
    "# roc_auc = roc_auc_score(yc, y_pred)\n",
    "\n",
    "# plt.figure(figsize=(8, 6))\n",
    "# plt.plot(fpr, tpr, color='darkorange', lw=2, label='ROC curve (area = {:.2f})'.format(roc_auc))\n",
    "# plt.plot([0, 1], [0, 1], color='navy', lw=2, linestyle='--')\n",
    "# plt.xlim([0.0, 1.0])\n",
    "# plt.ylim([0.0, 1.05])\n",
    "# plt.xlabel('False Positive Rate')\n",
    "# plt.ylabel('True Positive Rate')\n",
    "# plt.title('Receiver Operating Characteristic (ROC) Curve')\n",
    "# plt.legend(loc='lower right')\n",
    "# plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 点图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.array([1, 2, 3, 4, 5, -6, 7, 8, 2, 5, 7])\n",
    "y = np.array([5, 2, 4, -2, 1, 4, 5, 2, -1, -5, -6])\n",
    "ipos = np.where(y >= 0)\n",
    "ineg = np.where(y < 0)\n",
    "plt.scatter(x[ipos], y[ipos], label='Positive', color='b', s=25, marker=\"o\")\n",
    "plt.scatter(x[ineg], y[ineg], label='Negative', color='r', s=25, marker=\"x\")\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.title('Test')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 直方图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.stats import poisson\n",
    "x = np.arange(0, 100, 0.5) # creating a numpy array for x-axis\n",
    "y = poisson.pmf(x, mu=40, loc=10) # # poisson distribution data for y-axis\n",
    "plt.plot(x, y)\n",
    "plt.show()\n",
    "\n",
    "def histogram(df, colname, num_bins=20, figscale=1):\n",
    "  df[colname].plot(kind='hist', bins=num_bins, title=colname, figsize=(8*figscale, 4*figscale))\n",
    "  plt.gca().spines[['top', 'right',]].set_visible(False)\n",
    "  plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# mnist手写数字"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "from utils.mnist import loadMNIST, toHotEncoding\n",
    "trainingImages, trainingLabels = loadMNIST(\"train\", \"/Users/tzp/data/mnist\" )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt\n",
    "some_digit = trainingImages[0] \n",
    "some_digit_image = some_digit.reshape(28, 28)\n",
    "trainingLabels[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([  0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   3.,  18.,\n",
       "        18.,  18., 126., 136., 175.,  26., 166., 255., 247., 127.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "        30.,  36.,  94., 154., 170., 253., 253., 253., 253., 253., 225.,\n",
       "       172., 253., 242., 195.,  64.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,  49., 238., 253., 253., 253., 253.,\n",
       "       253., 253., 253., 253., 251.,  93.,  82.,  82.,  56.,  39.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "        18., 219., 253., 253., 253., 253., 253., 198., 182., 247., 241.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,  80., 156., 107., 253.,\n",
       "       253., 205.,  11.,   0.,  43., 154.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,  14.,   1., 154., 253.,  90.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "       139., 253., 190.,   2.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,  11., 190., 253.,  70.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,  35., 241., 225., 160., 108.,   1.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,  81., 240.,\n",
       "       253., 253., 119.,  25.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,  45., 186., 253., 253., 150.,  27.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,  16.,  93., 252., 253., 187.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0., 249., 253.,\n",
       "       249.,  64.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,  46., 130., 183., 253., 253., 207.,   2.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,  39., 148., 229., 253., 253., 253.,\n",
       "       250., 182.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,  24., 114.,\n",
       "       221., 253., 253., 253., 253., 201.,  78.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,  23.,  66., 213., 253., 253., 253., 253., 198.,  81.,\n",
       "         2.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,  18., 171., 219., 253., 253.,\n",
       "       253., 253., 195.,  80.,   9.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,  55.,\n",
       "       172., 226., 253., 253., 253., 253., 244., 133.,  11.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0., 136., 253., 253., 253., 212., 135.,\n",
       "       132.,  16.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,   0.,\n",
       "         0.,   0.,   0.], dtype=float32)"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "some_digit.reshape(784)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<module 'matplotlib.pyplot' from '/Users/tzp/opt/miniconda3/envs/mlflow-dev-env/lib/python3.7/site-packages/matplotlib/pyplot.py'>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(some_digit_image, cmap=\"binary\")\n",
    "plt.axis(\"off\")\n",
    "plt"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
